write my assignment 11884
1. Determine whether the following statements are true or false. Briefly justify your answer.
(a) A Type 1 linear-phase FIR filter does not have a mandatory zero at z = 1 and therefore is not suitable for highpass filter design.
(b) A rectangular window has a larger main lobe width and higher sidelobe level than a Blackmanwindow (suppose both have the same window duration).
(c) For a given transfer function, there exists only a finite number of equivalent structures realizing the same transfer function.
(d) If a digital filter has a pole at z = 1, then it cannot be an FIR filter.
(e) The ROC of a causal transfer function H(z) cannot be a disk, i.e., it cannot be expressed as |z| < a for some non-negative constant a.
(f) For any LTI system with a rational transfer function H(z), we can always find a minimum-phase system Hmin(z) that has an identical magnitude response as that of H(z).
(g) Bilinear transform is not suitable for designing a differentiator H(ejω) = jω.
(h) Window-based FIR filter design is unable to provide different ripple sizes in the passband and stopband of a filter.